Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

12-2015

Committee Chair or Co-Chairs

Robert Gardner

Committee Members

Robert A. Beeler, Teresa Haynes

Abstract

In this thesis, we explore the effect of restricting the coefficients of polynomials on the bounds for the number of zeros in a given region. The results presented herein build on a body of work, culminating in the generalization of bounds among three classes of polynomials. The hypotheses of monotonicity on each class of polynomials were further subdivided into sections concerning r reversals among the moduli, real parts, and both real and imaginary parts of the coefficients.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

Included in

Analysis Commons

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